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20301400420 = 22571096432069
BaseRepresentation
bin10010111010000011…
…101100100101100100
31221101211122222220021
4102322003230211210
5313034124303140
613154253244524
71316042025220
oct227203544544
957354588807
1020301400420
11867867a684
123b26a93744
131bb6c75c92
14da8341780
157dc454b4a
hex4ba0ec964

20301400420 has 96 divisors (see below), whose sum is σ = 49270636800. Its totient is φ = 6882568704.

The previous prime is 20301400417. The next prime is 20301400429. The reversal of 20301400420 is 2400410302.

It is a junction number, because it is equal to n+sod(n) for n = 20301400394 and 20301400403.

It is not an unprimeable number, because it can be changed into a prime (20301400429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9811146 + ... + 9813214.

It is an arithmetic number, because the mean of its divisors is an integer number (513235800).

Almost surely, 220301400420 is an apocalyptic number.

20301400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24635318400).

20301400420 is an abundant number, since it is smaller than the sum of its proper divisors (28969236380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20301400420 is a wasteful number, since it uses less digits than its factorization.

20301400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20301400420 its reverse (2400410302), we get a palindrome (22701810722).

The spelling of 20301400420 in words is "twenty billion, three hundred one million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 643 763 1090 1286 1526 2069 2180 2572 3052 3215 3815 4138 4501 6430 7630 8276 9002 10345 12860 14483 15260 18004 20690 22505 28966 41380 45010 57932 70087 72415 90020 140174 144830 225521 280348 289660 350435 451042 490609 700870 902084 981218 1127605 1330367 1401740 1578647 1962436 2255210 2453045 2660734 3157294 4510420 4906090 5321468 6314588 6651835 7893235 9312569 9812180 13303670 15786470 18625138 26607340 31572940 37250276 46562845 93125690 145010003 186251380 290020006 580040012 725050015 1015070021 1450100030 2030140042 2900200060 4060280084 5075350105 10150700210 20301400420